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The equaltion a sin x+b cos x=c, where |...

The equaltion a `sin x+b cos x=c,` where `|c|gtsqrt(a^(2)+b^(2))` has

A

a unique solution

B

infinite no. of solutions

C

no solution

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  3. The equaltion a sin x+b cos x=c, where |c|gtsqrt(a^(2)+b^(2)) has

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  4. If alpha is a root of 25"cos"^(2) theta+ 5"cos" theta-12 = 0, (pi)/(2)...

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  7. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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  9. If sin A = sin B and cos A= cos B, then find the value of a in terms o...

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  10. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

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  11. If (1+tantheta)(1+tanphi)=2, then theta + phi=

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  12. The general solution of "tan" 3x =1, is

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  13. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

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  14. If alpha a n d beta are the solutions of the equation at a ntheta+bs e...

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  15. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

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  16. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

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  17. If the the equation a sin x + cos 2x=2a-7 possesses a solution, then f...

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  18. The equation "sin"^(6) x + "cos"^(6) x = lambda, has a solution if

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  19. If y + "cos" theta = "sin" theta has a real solution, then

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  20. The solution set of the equation 4 sin theta. Cos theta-2 cos theta-2s...

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